Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×AGL(1,𝔽5)×Dic6 |
| unambiguous semidirect product | D5⋊(C4×Dic6) |
| Hall | C3×C5 ⋊ C2×C4×Q8 |
| Sylow | C5 ⋊ C2×C4×Dic6 |
| Sylow | C3 ⋊ C2×Q8×AGL(1,𝔽5) |
596 conjugacy classes of subgroups; only the 210 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 210 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
90 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11004);